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2054128 = 241929233
BaseRepresentation
bin111110101011111110000
310212100201211
413311133300
51011213003
6112005504
723313466
oct7653760
93770654
102054128
11118332a
12830894
1356bc7b
143b6836
152a896d
hex1f57f0

2054128 has 40 divisors (see below), whose sum is σ = 4352400. Its totient is φ = 935424.

The previous prime is 2054113. The next prime is 2054131. The reversal of 2054128 is 8214502.

It is a junction number, because it is equal to n+sod(n) for n = 2054099 and 2054108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8700 + ... + 8932.

It is an arithmetic number, because the mean of its divisors is an integer number (108810).

22054128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176200).

2054128 is an abundant number, since it is smaller than the sum of its proper divisors (2298272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2054128 is a wasteful number, since it uses less digits than its factorization.

2054128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2054128 is about 1433.2229414854. Note that the first 3 decimals coincide. The cubic root of 2054128 is about 127.1186194111.

The spelling of 2054128 in words is "two million, fifty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 233 304 464 466 551 932 1102 1864 2204 3728 4408 4427 6757 8816 8854 13514 17708 27028 35416 54056 70832 108112 128383 256766 513532 1027064 2054128